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Generalized Linguistic Ordered Weighted Hybrid Logarithm Averaging Operators and Applications to Group Decision Making

International Journal of Uncertainty Fuzziness and Knowledge-Based SystemsPublished 1 June 2015
Jinpei Liu, Huayou Chen, Ligang Zhou, Zhifu Tao
Citations26
SJR quartileQ3
SJR score0.32
SNIP0.58

TL;DR

A nonlinear goal programming model is constructed to determine GLOWHLA weights from observational linguistic variable values under partial weight information and indicates the feasibility and effectiveness of the new approach to evaluating university faculty for tenure and promotion.

Abstract

In this paper, we develop the generalized linguistic weighted logarithm averaging (GLWLA) operator and the generalized linguistic ordered weighted logarithm averaging (GLOWLA) operator in the group decision making under the linguistic surrounding. Then some properties of the families of the GLOWLA operator by different weighting vector are investigated. Furthermore, we present the generalized linguistic ordered weighted hybrid logarithm averaging (GLOWHLA) operator, which extends the GLOWLA operator. We also construct a nonlinear goal programming model to determine GLOWHLA weights from observational linguistic variable values under partial weight information. Finally, a numerical example is given to illustrate the new approach to evaluating university faculty for tenure and promotion, which indicates the feasibility and effectiveness of the new approach.

Keywords

Decision SciencesEngineeringBusiness, Management and Accounting